Finite Group Databasebeta

← #14458634

Subgroups — #14458634

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11756435C211yesmaximal, characteristic
2#11756340C211yesmaximal, characteristic, complemented
3C3×C5×#464C211yesmaximal, characteristic, complemented
4#11751289C211yesmaximal, characteristic, complemented
5#11751288C211yesmaximal, characteristic, complemented
6#11751272C211yesmaximal, characteristic, complemented
7#11751270C211yesmaximal, characteristic, complemented
8#11751157C211yesmaximal, characteristic, complemented
9C4×#6717C211yesmaximal, characteristic, complemented
10#11750948C211yesmaximal, characteristic, complemented
11#11750935C211yesmaximal, characteristic, complemented
12#11750906C211yesmaximal, characteristic, complemented
13#11750905C211yesmaximal, characteristic, complemented
14#11750885C211yesmaximal, characteristic, complemented
15D15×#102C211yesmaximal, characteristic, complemented
16#10612346—31nomaximal, Hall
17C2×#6821C2211yescharacteristic
18C2×D4×D15C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic, complemented
20C2×C3×C5×SD16C2211yescharacteristic
21C3×C5×#124C2211yescharacteristic
22C3×C4×C5×Q8C2211yescharacteristic, complemented
23#91835C2211yescharacteristic
24#91835C2211yescharacteristic
25#91835C2211yescharacteristic, complemented
26C2×#6717C2211yescharacteristic
27#91827C2211yescharacteristic
28C2×C8×D15C2211yescharacteristic
29C2×C8×D15C2211yescharacteristic, complemented
30#91783—21no—
31#91781C2211yescharacteristic, complemented
32C4⋊C4×D15C2211yescharacteristic
33#91778—21no—
34#91773—21no—
35#91772—21no—
36#91771—21no—
37C22⋊C4×D15—21no—
38#91765—21no—
39C4×D60C2211yescharacteristic
40C4×D60C2211yescharacteristic
41#91761—21no—
42#91759C2211yescharacteristic, complemented
43C3×C5×C4⋊C8C2211yescharacteristic, complemented
44C3×C5×#103C2211yescharacteristic, complemented
45C3×C5×#102C2211yescharacteristic
46#91119C2211yescharacteristic, complemented
47#91119C2211yescharacteristic, complemented
48#91119C2211yescharacteristic, complemented
49#91116C2211yescharacteristic
50#91116C2211yescharacteristic
51#91105C2211yescharacteristic
52#91105C2211yescharacteristic
53#91104C2211yescharacteristic
54#91104C2211yescharacteristic, complemented
55#91102C2211yescharacteristic, complemented
56#91101C2211yescharacteristic, complemented
57#91093C2211yescharacteristic
58#91092C2211yescharacteristic, complemented
59C4×C3⋊#168C2211yescharacteristic, complemented
60#80615—51nomaximal, Hall
61#66010—31no—
62#65915—31no—
63C5×#464D311yescharacteristic, complemented
64#65477—31no—
65#65476—31no—
66#65460—31no—
67#65458—31no—
68#65345—31no—
69C4×#688—31no—
70#65136—31no—
71#65123—31no—
72#65094—31no—
73#65093—31no—
74#65073—31no—
75D5×#102—31no—
76C23×D15—21no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×Q8C2311yescharacteristic
79C2×C3×C5×D4C2311yescharacteristic
80C2×#1220—21no—
81C2×#1220—21no—
82#6821—22no—
83#6821—41no—
84D4×D15—22no—
85D4×D15—41no—
86C2×D60—21no—
87C2×D60D411yescharacteristic
88C2×D60C2311yescharacteristic
89C2×C4×D15—21no—
90C2×C4×D15—21no—
91C2×C4×D15—21no—
92C2×C4×D15C2311yescharacteristic
93C2×C4×D15C2311yescharacteristic
94C3×C5×Q16—41no—
95C3×C5×SD16—41no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4—21no—
99C3×C5×C4⋊C4C2311yescharacteristic
100C3×C5×C22⋊C4—21no—
101C3×C5×C22⋊C4—21no—
102C3×C42×C5—21no—
103C3×C42×C5C2311yescharacteristic
104#6719—21no—
105#6717—22no—
106#6714—21no—
107#6714—21no—
108#6714—21no—
109#6714—21no—
110#6714—21no—
111#6714D411yescharacteristic
112#6714D411yescharacteristic
113C4⋊Dic15D411yescharacteristic
114C4⋊Dic15C2311yescharacteristic
115C4⋊Dic15C2311yescharacteristic
116C4⋊Dic15C2311yescharacteristic
117#6712—21no—
118#6712—21no—
119#6712—21no—
120#6712—21no—
121#6712—21no—
122#6712—21no—
123C4×Dic15—21no—
124C2×C3⋊#168C2311yescharacteristic
125C2×C3⋊#168C2311yescharacteristic
126C8×D15—41no—
127C8×D15—41no—
128#5676—51no—
129#5581—51no—
130C3×#464D511yescharacteristic, complemented
131#5188—51no—
132#5187—51no—
133#5171—51no—
134#5169—51no—
135#5056—51no—
136C4×#215—51no—
137#4847—51no—
138#4834—51no—
139#4805—51no—
140#4804—51no—
141#4784—51no—
142D3×#102—51no—
143C2×#713—31no—
144C2×D4×D5—31no—
145C2×C5×Q16C2×D311yescharacteristic, complemented
146C2×C5×SD16C2×D311yescharacteristic
147C5×#124C2×D311yescharacteristic
148C4×C5×Q8C2×D311yescharacteristic, complemented
149#4092—31no—
150#4092—31no—
151#4092—31no—
152C2×#688—31no—
153#4084—31no—
154C2×C8×D5—31no—
155C2×C8×D5—31no—
156#4040—61no—
157#4038—31no—
158D5×C4⋊C4—31no—
159#4035—61no—
160#4030—61no—
161#4029—61no—
162#4028—61no—
163D5×C22⋊C4—61no—
164#4022—61no—
165C4×D20—31no—
166C4×D20—31no—
167#4018—61no—
168#4016—31no—
169C5×C4⋊C8C2×D311yescharacteristic, complemented
170C5×#103C2×D311yescharacteristic, complemented
171C5×#102C2×D311yescharacteristic
172#3967—31no—
173#3967—31no—
174#3967—31no—
175#3964—31no—
176#3964—31no—
177#3953—31no—
178#3953—31no—
179#3952—31no—
180#3952—31no—
181#3950—31no—
182#3949—31no—
183#3941—31no—
184#3940—31no—
185C4×#168—31no—
186#3296—151noSylow
187C23×C3×C5—21no—
188C22×D15—21no—
189C22×D15—42no—
190C22×D15—42no—
191C22×D15—81no—
192C22×D15C2×D411yescharacteristic
193C22×D15C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C3×C5×Q8—21no—
197C3×C5×Q8—21no—
198C3×C5×D4—21no—
199C3×C5×D4—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—21no—
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2×D411yescharacteristic
205C2×C3×C4×C5C2411yescharacteristic
206#1220—42no—
207#1220—81no—
208C2×Dic15—21no—
209C2×Dic15—21no—
210C2×Dic15—21no—
211C2×Dic15C2×D411yescharacteristic
212C2×Dic15C2×D411yescharacteristic
213D60—22no—
214D60—21no—
215D60—42no—
216D60#4112yes—
217C4×D15—21no—
218C4×D15—21no—
219C4×D15—21no—
220C4×D15—21no—
221C4×D15—42no—
222C4×D15—42no—
223C4×D15—81no—
224C3×C5×C8—21no—
225C3×C5×C8—21no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C2×#239—51no—
229C2×D3×D4—51no—
230C2×C3×Q16C2×D511yescharacteristic, complemented
231C2×C3×SD16C2×D511yescharacteristic
232C3×#124C2×D511yescharacteristic
233C3×C4×Q8C2×D511yescharacteristic, complemented
234#946—51no—
235#946—51no—
236#946—51no—
237C2×#215—51no—
238#938—51no—
239C2×D3×C8—51no—
240C2×D3×C8—51no—
241#894—101no—
242#892—51no—
243D3×C4⋊C4—51no—
244#889—101no—
245#884—101no—
246#883—101no—
247#882—101no—
248D3×C22⋊C4—101no—
249#876—101no—
250C4×D12—51no—
251C4×D12—51no—
252#872—101no—
253#870—51no—
254C3×C4⋊C8C2×D511yescharacteristic, complemented
255C3×#103C2×D511yescharacteristic, complemented
256C3×#102C2×D511yescharacteristic
257#835—51no—
258#835—51no—
259#835—51no—
260#832—51no—
261#832—51no—
262#821—51no—
263#821—51no—
264(C2×D3)⋊C8—51no—
265(C2×D3)⋊C8—51no—
266#818—51no—
267#817—51no—
268#809—51no—
269#808—51no—
270C4×C3⋊C8—51no—
271C23×D5—61no—
272C2×C5×Q8C22×D311yescharacteristic
273C2×C5×Q8C22×D311yescharacteristic
274C2×C5×D4C22×D311yescharacteristic
275C2×C22⋊D5—61no—
276C2×C22⋊D5—61no—
277#713—62no—
278#713—121no—
279D4×D5—62no—
280D4×D5—121no—
281C2×D20—31no—
282C2×D20—31no—
283C2×D20—61no—
284C2×C4×D5—31no—
285C2×C4×D5—31no—
286C2×C4×D5—61no—
287C2×C4×D5—61no—
288C2×C4×D5—61no—
289C5×Q16—41no—
290C5×SD16—41no—
291C2×C5×C8C22×D311yescharacteristic
292C2×C5×C8C22×D311yescharacteristic
293C5×C4⋊C4—21no—
294C5×C4⋊C4C22×D311yescharacteristic
295C5×C22⋊C4—21no—
296C5×C22⋊C4—21no—
297C42×C5—21no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—61no—
300#688—62no—
301#685—31no—
302#685—31no—
303#685—61no—
304#685—61no—
305#685—61no—
306#685—61no—
307#685—61no—
308C4⋊Dic5—31no—
309C4⋊Dic5—31no—
310C4⋊Dic5—31no—
311C4⋊Dic5—31no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683—61no—
316#683—61no—
317#683—61no—
318C4×Dic5—61no—
319C2×#168—31no—
320C2×#168—31no—
321C8×D5—121no—
322C8×D5—121no—
323#552—151no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464D1511yescharacteristic, complemented
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—41no—
339C22×C3×C5—41no—
340C22×C3×C5—41no—
341C22×C3×C5C22×D411yescharacteristic
342C2×D15—21no—
343C2×D15—21no—
344C2×D15—21no—
345C2×D15—22no—
346C2×D15—21no—
347C2×D15—21no—
348C2×D15—41no—
349C2×D15—41no—
350C2×D15—84no—
351C2×D15#13512yes—
352C3×C4×C5—21no—
353C3×C4×C5—21no—
354C3×C4×C5—41no—
355C3×C4×C5—41no—
356C3×C4×C5—41no—
357C3×C4×C5C2×#4111yescharacteristic
358C3×C4×C5H(5,𝔽2)11yescharacteristic
359Dic15—21no—
360Dic15—21no—
361Dic15—41no—
362Dic15—41no—
363Dic15—41no—
364C23×D3—101no—
365C2×C3×Q8C22×D511yescharacteristic
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4C22×D511yescharacteristic
368C2×#67—101no—
369C2×#67—101no—
370#239—102no—
371#239—201no—
372D3×D4—102no—
373D3×D4—201no—
374C2×D12—51no—
375C2×D12—51no—
376C2×D12—101no—
377C2×C4×D3—51no—
378C2×C4×D3—51no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3—101no—
382C3×Q16—41no—
383C3×SD16—41no—
384C2×C3×C8C22×D511yescharacteristic
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—21no—
387C3×C4⋊C4C22×D511yescharacteristic
388C3×C22⋊C4—21no—
389C3×C22⋊C4—21no—
390C3×C42—21no—
391C3×C42C22×D511yescharacteristic
392#217—101no—
393#215—102no—
394(C2×D3)⋊C4—51no—
395(C2×D3)⋊C4—51no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399(C2×D3)⋊C4—101no—
400(C2×D3)⋊C4—101no—
401C4⋊Dic3—51no—
402C4⋊Dic3—51no—
403C4⋊Dic3—51no—
404C4⋊Dic3—51no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408Dic3⋊C4—101no—
409Dic3⋊C4—101no—
410Dic3⋊C4—101no—
411C4×Dic3—101no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—51no—
414D3×C8—201no—
415D3×C8—201no—
416C23×C5—21no—
417C22×D5—31no—
418C22×D5—31no—
419C22×D5—61no—
420C22×D5—122no—
421C22×D5—122no—
422C22×D5—241no—
423C5×Q8—21no—
424C5×Q8—21no—
425C5×Q8—21no—
426C5×Q8—21no—
427C5×D4—21no—
428C5×D4—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5D3×D411yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—122no—
436C22⋊D5—241no—
437C2×Dic5—31no—
438C2×Dic5—31no—
439C2×Dic5—61no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442D20—32no—
443D20—62no—
444D20—61no—
445D20—122no—
446C4×D5—61no—
447C4×D5—61no—
448C4×D5—61no—
449C4×D5—61no—
450C4×D5—122no—
451C4×D5—122no—
452C4×D5—241no—
453C5×C8—21no—
454C5×C8—21no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—151no—
459C2×Q16C2×D1511yescharacteristic, complemented
460C2×SD16—151no—
461C2×SD16C2×D1511yescharacteristic
462C22×C8—151no—
463C22×C8—151no—
464#126—301no—
465#125—151no—
466#125—301no—
467#124C2×D1511yescharacteristic
468#123—301no—
469#123—301no—
470C22⋊Q8—151no—
471C22⋊Q8—151no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8C2×D1511yescharacteristic, complemented
477C4×D4—151no—
478C4×D4—151no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8C2×D1511yescharacteristic, complemented
487#103—151no—
488#103—151no—
489#103—151no—
490#103C2×D1511yescharacteristic, complemented
491#102—151no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102C2×D1511yescharacteristic
497C22⋊C8—151no—
498C22⋊C8—151no—
499C4×C8—151no—
500C2×C3×C5—81no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504D15—22no—
505D15—41no—
506D15—42no—
507C23×C3—21no—
508C22×D3—51no—
509C22×D3—51no—
510C22×D3—101no—
511C22×D3—202no—
512C22×D3—202no—
513C22×D3—401no—
514C3×Q8—21no—
515C3×Q8—21no—
516C3×Q8—21no—
517C3×Q8—21no—
518C3×D4—21no—
519C3×D4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4D4×D511yescharacteristic
524C2×C3×C4D4×D511yescharacteristic
525C2×C3×C4C23×D511yescharacteristic
526#67—202no—
527#67—401no—
528C2×Dic3—51no—
529C2×Dic3—51no—
530C2×Dic3—101no—
531C2×Dic3—101no—
532C2×Dic3—101no—
533D12—52no—
534D12—102no—
535D12—101no—
536D12—202no—
537C4×D3—101no—
538C4×D3—101no—
539C4×D3—101no—
540C4×D3—101no—
541C4×D3—202no—
542C4×D3—202no—
543C4×D3—401no—
544C3×C8—21no—
545C3×C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—41no—
549C22×C5—41no—
550C22×C5—41no—
551C22×C5C2×D3×D411yescharacteristic
552C2×D5—32no—
553C2×D5—61no—
554C2×D5—61no—
555C2×D5—61no—
556C2×D5—61no—
557C2×D5—61no—
558C2×D5—62no—
559C2×D5—121no—
560C2×D5—121no—
561C2×D5—244no—
562C4×C5—21no—
563C4×C5—21no—
564C4×C5—41no—
565C4×C5—41no—
566C4×C5—41no—
567C4×C5#100411yescharacteristic
568C4×C5D3×#4111yescharacteristic
569Dic5—61no—
570Dic5—61no—
571Dic5—121no—
572Dic5—121no—
573Dic5—121no—
574C24—301no—
575#41—302no—
576#41—601no—
577C2×Q8C22×D1511yescharacteristic
578C2×Q8C22×D1511yescharacteristic
579C2×D4—151no—
580C2×D4—151no—
581C2×D4—301no—
582C2×D4—301no—
583C2×D4—302no—
584C2×D4—301no—
585C2×D4—601no—
586C2×D4C22×D1511yescharacteristic
587C22×C4—151no—
588C22×C4—151no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4—301no—
592Q16—41no—
593SD16—41no—
594SD16—302no—
595C2×C8—151no—
596C2×C8—151no—
597C2×C8—601no—
598C2×C8—601no—
599C2×C8C22×D1511yescharacteristic
600C2×C8C22×D1511yescharacteristic
601C4⋊C4—21no—
602C4⋊C4—151no—
603C4⋊C4—151no—
604C4⋊C4—151no—
605C4⋊C4—151no—
606C4⋊C4—301no—
607C4⋊C4—301no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4C22×D1511yescharacteristic
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—151no—
616C22⋊C4—151no—
617C22⋊C4—301no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—21no—
624C42—301no—
625C42C22×D1511yescharacteristic
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3C2×D4×D511yescharacteristic
631C2×D3—52no—
632C2×D3—101no—
633C2×D3—101no—
634C2×D3—101no—
635C2×D3—101no—
636C2×D3—101no—
637C2×D3—102no—
638C2×D3—201no—
639C2×D3—201no—
640C2×D3—404no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4#414411yescharacteristic
647C3×C4D5×#4111yescharacteristic
648Dic3—101no—
649Dic3—101no—
650Dic3—201no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—81no—
654C2×C5#561211yescharacteristic
655C2×C5D3×#13511yescharacteristic
656C2×C5#577811yescharacteristic
657D5—62no—
658D5—121no—
659D5—122no—
660C23—21no—
661C23—151no—
662C23—151no—
663C23—301no—
664C23—602no—
665C23—602no—
666C23—1201no—
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671D4—21no—
672D4—21no—
673D4—152no—
674D4—302no—
675D4—301no—
676D4—602no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—151no—
683C2×C4—151no—
684C2×C4—301no—
685C2×C4—301no—
686C2×C4—301no—
687C2×C4—301no—
688C2×C4—301no—
689C2×C4—301no—
690C2×C4—301no—
691C2×C4—602no—
692C2×C4—602no—
693C2×C4—1201no—
694C2×C4D4×D1511yescharacteristic
695C2×C4D4×D1511yescharacteristic
696C2×C4C23×D1511yescharacteristic
697C8—21no—
698C8—21no—
699C8—301no—
700C8—301no—
701C2×C3—81no—
702C2×C3#6594611yescharacteristic
703C2×C3D5×#13511yescharacteristic
704C2×C3#6611211yescharacteristic
705D3—102no—
706D3—201no—
707D3—202no—
708C5#8061511yescharacteristic, complemented, Sylow
709C22—41no—
710C22—41no—
711C22—41no—
712C22—152no—
713C22—301no—
714C22—301no—
715C22—301no—
716C22—302no—
717C22—301no—
718C22—301no—
719C22—601no—
720C22—601no—
721C22—1204no—
722C22C2×D4×D1511yescharacteristic
723C4—21no—
724C4—21no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—301no—
729C4—301no—
730C4—601no—
731C4—601no—
732C4—601no—
733C4#9209511yescharacteristic
734C4#41×D1511yescharacteristic
735C3#1061234611yescharacteristic, complemented, Sylow
736C2—81no—
737C2—302no—
738C2—601no—
739C2—602no—
740C2#1175637111yescharacteristic
741C2D15×#13511yescharacteristic
742C2#1175653711yescharacteristic
subgroupG/H
centerC22C2×D4×D15
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C23×D15
FittingC3×C5×#464C2
socleC22×C3×C5C22×D4
prime radical#11756435C2
hypercenter#464D15
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #464

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #11756340C2semidirect
3. C3×C5×#464C2semidirect
4. #11751289C2semidirect
5. #11751288C2semidirect
6. #11751272C2semidirect
7. #11751270C2semidirect
8. #11751157C2semidirect
9. C4×#6717C2semidirect
10. #11750948C2semidirect
11. #11750935C2semidirect
12. #11750906C2semidirect
13. #11750905C2semidirect
14. #11750885C2semidirect
15. D15×#102C2semidirect
19. C2×C3×C5×Q16C22semidirect
22. C3×C4×C5×Q8C22semidirect
25. #91835C22semidirect
29. C2×C8×D15C22semidirect
31. #91781C22semidirect
42. #91759C22semidirect
43. C3×C5×C4⋊C8C22semidirect
44. C3×C5×#103C22semidirect
46. #91119C22semidirect
47. #91119C22semidirect
48. #91119C22semidirect
54. #91104C22semidirect
55. #91102C22semidirect
56. #91101C22semidirect
58. #91092C22semidirect
59. C4×C3⋊#168C22semidirect
63. C5×#464D3semidirect
130. C3×#464D5semidirect
145. C2×C5×Q16C2×D3semidirect
148. C4×C5×Q8C2×D3semidirect
169. C5×C4⋊C8C2×D3semidirect
170. C5×#103C2×D3semidirect
230. C2×C3×Q16C2×D5semidirect
233. C3×C4×Q8C2×D5semidirect
254. C3×C4⋊C8C2×D5semidirect
255. C3×#103C2×D5semidirect
331. #464D15semidirect
459. C2×Q16C2×D15semidirect
476. C4×Q8C2×D15semidirect
486. C4⋊C8C2×D15semidirect
490. #103C2×D15semidirect
626. C3×C5#3296semidirect
708. C5#80615semidirect
735. C3#10612346semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#117564352
#117563402
C3×C5×#4642
#117512892
#117512882
#117512722
#117512702
#117511572
C4×#67172
#117509482
#117509352
#117509062
#117509052
#117508852
D15×#1022
#106123463
#806155